AFAIK this from Biblical Archaeology Review paints the current stage of the trial. Do you have anything newer?
About the trial, no, nothing newer.>br>
Google news has a timeline of articles on "Oded Golan" "trial"
here, and there are more recent articles than Shanks' February 2008 article in
BAR.
As an aside: though there may be / are 'Anti-Christians of all stripes [who] certainly want the ossuary to be fake', some Christians believe the James Ossuary is fake. That belief isn't limited to anti-Christians.
The trial needs to prove a forgery and it hasn’t done that even in a time span of years. Some Christians may believe the ossuary is fake but that it would be on the basis of a theology not evidence.
I don't see anything about the ossuary that should alarm the vast majority of Christians. Plain sense readings of ancient scripts from extinct cultures is almost never the appropriate way to approach interpretation.